Advertisements
Advertisements
प्रश्न
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x).
Advertisements
उत्तर
The graph intersects x-axis at one point.
∴ The no of zeroes of p(x) is one.
APPEARS IN
संबंधित प्रश्न
Find the zeroes of the quadratic polynomial `f(x) = 5x^2 ˗ 4 ˗ 8x` and verify the relationship between the zeroes and coefficients of the given polynomial.
If f(x) =`x^3-3x+5x-3` is divided by g(x)=`x^2-2`
Find all the zeroes of `(2x^4 – 3x^3 – 5x2 + 9x – 3)`, it is being given that two of its zeroes are `sqrt3 and –sqrt3`.
Find the zeroes of the polynomial `x^2 + x – p(p + 1) `
If 3 is a zero of the polynomial `2x^2 + x + k`, find the value of k.
If the zeroes of the polynomial `f(x) = x^3 – 3x^2 + x + 1` are (a – b), a and (a + b), find the values of a and b.
Find the value of k such that the polynomial x2-(k +6)x+ 2(2k - 1) has some of its zeros equal to half of their product.
A quadratic polynomial, whose zeroes are -3 and 4, is ______.
The number of polynomials having zeroes as -2 and 5 is ______.
If one of the zeroes of the cubic polynomial x3 + ax2 + bx + c is -1, then the product of the
other two zeroes is ______.
The zeroes of the quadratic polynomial x² + 1750x + 175000 are ______.
If x3 + 1 is divided by x2 + 5, then the possible degree of quotient is ______.
If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.
If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial.
The zeroes of the quadratic polynomial x2 + kx + k, k ≠ 0 ______.
The number of quadratic polynomials having zeroes –5 and –3 is ______.
If α and β are the zeroes of the polynomial x2 + x − 2, then find the value of `alpha/beta+beta/alpha`
